Question

give the slope and the y-intercept of the line ( y = -2x - 6 ). make sure the y-intercept is written as a coordinate. this means the y-intercept must be in the form ( (0, b) ).
slope =

y-intercept =

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Explanation:

Step1: Recall slope - intercept form

The slope - intercept form of a linear equation is $y = mx + b$, where $m$ is the slope and $b$ is the y - intercept (the value of $y$ when $x = 0$).

Step2: Identify slope from the equation

For the equation $y=-2x - 6$, comparing it with $y = mx + b$, we can see that $m=-2$. So the slope is $-2$.

Step3: Identify y - intercept as a coordinate

To find the y - intercept as a coordinate, we know that when $x = 0$, we substitute $x = 0$ into the equation $y=-2x - 6$.
When $x = 0$, $y=-2(0)-6=-6$. So the y - intercept in the form $(0,b)$ is $(0, - 6)$.

Answer:

Slope = $-2$
y - intercept = $(0, - 6)$